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Finding the Third Proportional to 217,569 and 474,990

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Solution

The third proportional to 217,569 and 474,990 is: 1,036,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,569 : 474,990 = 474,990 : x
  2. Step 2: Convert to fraction form
    217,569/474,990 = 474,990/x
  3. Step 3: Cross multiply
    217,569x = 474,990 × 474,990
  4. Step 4: Simplify right side
    217,569x = 225,615,500,100
  5. Step 5: Solve for x
    x = 225,615,500,100/217,569
  6. Step 6: Final answer
    x = 1,036,983.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.